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A062271 Denominators in partial products of the twin prime constant. 6

%I #15 Apr 19 2019 03:28:09

%S 4,64,256,1024,16384,4194304,452984832,603979776,1073741824,

%T 64424509440,16698832846848,8906044184985600,2244323134616371200,

%U 4588393964104581120,24471434475224432640,32628579300299243520

%N Denominators in partial products of the twin prime constant.

%D Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 84-94.

%D G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, ch. 22.20

%H Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/constant/hrdyltl/hrdyltl.html">Hardy-Littlewood Constants </a> [Broken link]

%H Steven R. Finch, <a href="http://web.archive.org/web/20010614100031/http://www.mathsoft.com/asolve/constant/hrdyltl/hrdyltl.html">Hardy-Littlewood Constants </a> [From the Wayback machine]

%F a(n)= a(n-1)*(p(n)-1)^2 / gcd( A062270(n), a(n-1)*(p(n)-1)^2 ) for n > 2.

%e a(4)= 256= 2*2*4*4*6*6 / gcd( 3*1*5*3*7*5, 2*2*4*4*6*6 ).

%Y A062270 (numerators), A005597 (decimal expansion).

%K easy,nonn,frac

%O 2,1

%A _Frank Ellermann_, Jun 16 2001

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Last modified April 27 13:50 EDT 2024. Contains 372019 sequences. (Running on oeis4.)